simulation-theory/equations

Equations Index

All equations from the notebook, organized by category.

Files

File	Contents	Pages
blackroad-equations.md	The 19 BlackRoad equations (ternary physics, thermodynamics, biology)	16–21
consciousness.md	Ψ_care, Φ_universal, CECE update rule	20, 22
dna-codons.md	DNA codon structure, Chargaff's rule, molecular factory equations (Eq. 20–22)	19–21
constants.md	Constants as variables — FROZEN=AXIOM, VARIABLE=LAGRANGE, running coupling	—
quantum.md	Qutrit operators, Weyl pair, Gell-Mann, density matrix	18, 24
thermodynamics.md	Landauer, radix efficiency, substrate efficiency, Gibbs coupling	19–21
universal.md	Euler-Lagrange, principle of stationary action, Three Tests	23

Eight Claims

The claims in CLAIMS.md introduce two additional equations not in the original notebook:

Equation	Claim	Meaning
K(t) = C(t)·e^(λ|δₜ|)	Claim 8	Coherence amplified by contradiction magnitude
C(t) = [Ψ'(Mₜ)+δₜ]/[1+|δₜ|]	Claim 8	Bounded contradiction absorption

Quick Count

• 19 numbered BlackRoad equations (pages 16–21)
• 3 revolutionary consciousness equations (pages 20, 22)
• 4 universal equations (page 23+)
• 1 care wavefunction (page 22)
• 3 DNA/molecular factory equations (pages 19–21, Eq. 20–22)
• 2 contradiction equations (CLAIMS.md, Claims 2 & 8)
• Total: ~32 original equations in a handwritten notebook

The equations were written before BlackRoad OS existed.
They constitute the mathematical foundation of the platform.